101312323000033 has 2 divisors, whose sum is σ = 101312323000034. Its totient is φ = 101312323000032.

The previous prime is 101312322999997. The next prime is 101312323000051. The reversal of 101312323000033 is 330000323213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86332195246144 + 14980127753889 = 9291512^2 + 3870417^2 .

It is a cyclic number.

It is not a de Polignac number, because 101312323000033 - 2³³ = 101303733065441 is a prime.

It is a super-2 number, since 2×101312323000033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101312322999968 and 101312323000013.

It is not a weakly prime, because it can be changed into another prime (101312323000093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656161500016 + 50656161500017.

It is an arithmetic number, because the mean of its divisors is an integer number (50656161500017).

Almost surely, 2^{101312323000033} is an apocalyptic number.

It is an amenable number.

101312323000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312323000033 is an equidigital number, since it uses as much as digits as its factorization.

101312323000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 101312323000033 its reverse (330000323213101), we get a palindrome (431312646213134).

The spelling of 101312323000033 in words is "one hundred one trillion, three hundred twelve billion, three hundred twenty-three million, thirty-three", and thus it is an aban number.